Topological superconductors with Majorana fermion quasiparticles form a newly discovered class of matter. The Majorana fermion can be seen as half an electron, or more accurately, the electron wave function has split up into two separate parts. I will explain the basic physics behind topological superconductors and why Majorana fermions appear, briefly review the current experimental status, and report on a few of our new findings, focusing on disorder robustness and detection of Majorana fermions.
